Infrared Regularization of Very Special Relativity Models
We extend the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Sim</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inli...
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-08-01
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| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/10/9/348 |
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| Summary: | We extend the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>Sim</mi><mo>(</mo><mn>2</mn><mo>)</mo></mrow></semantics></math></inline-formula> invariant infrared regularization of Very Special Relativity models, that we have proposed recently, to include <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>γ</mi><mn>5</mn></msub></semantics></math></inline-formula> Dirac matrix. Then, we solve the Very Special Relativity Schwinger model, find the chiral anomaly, and clarify its meaning in the new context. In addition, we show that the triangle anomaly in four space-time dimensions agrees with the same object in standard quantum electrodynamics. Finally, we apply the infrared regularization to compute the large N limit of the Very Special Relativity Gross–Neveu model. |
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| ISSN: | 2218-1997 |